On a set of numbers arising in the dynamics of unimodal maps
classification
🧮 math.DS
math.NT
keywords
dynamicsmapsnumbersunimodalalongarisingarithmeticalbifurcation
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In this paper we initiate the study of the arithmetical properties of a set numbers which encode the dynamics of unimodal maps in a universal way along with that of the corresponding topological zeta function. Here we are concerned in particular with the Feigenbaum bifurcation.
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